Skip to main content

On-Demand Broadcasting Under Deadline

  • Conference paper
Algorithms - ESA 2003 (ESA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2832))

Included in the following conference series:

Abstract

In broadcast scheduling multiple users requesting the same information can be satisfied with one single broadcast. In this paper we study preemptive on-demand broadcast scheduling with deadlines on a single broadcast channel. We will show that the upper bound results in traditional real-time scheduling does not hold under broadcast scheduling model. We present two easy to implement online algorithms BCast and its variant BCast2. Under the assumption the requests are approximately of equal length (say k), we show that BCast is O(k) competitive. We establish that this bound is tight by showing that every online algorithm is Ω(k) competitive even if all requests are of same length k. We then consider the case where the laxity of each request is proportional to its length. We show that BCast is constant competitive if all requests are approximately of equal length. We then establish that BCast2 is constant competitive for requests with arbitrary length. We also believe that a combinatorial lemma that we use to derive the bounds can be useful in other scheduling system where the deadlines are often changing (or advanced).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aacharya, A., Muthukrishnan, S.: Scheduling On-demand Broadcasts: New Metrics and Algorithms. In: MobiCom (1998)

    Google Scholar 

  2. Bar-Noy, A., Guha, S., Katz, Y., Naor, J.: Throughput maximization of real-time scheduling with batching. In: Proceedings of ACM/SIAM Symposium on Discrete Algorithms (January 2002)

    Google Scholar 

  3. Bartal, Y., Muthukrishnan, S.: Minimizing Maximum Response Time in Scheduling Broadcasts. In: SODA, pp. 558–559 (2000)

    Google Scholar 

  4. Edmonds, J., Pruhs, K.: Multicast pull scheduling: When fairness is fine. In: Proceedings of ACM/SIAM Symposium on Discrete Algorithms (January 2002)

    Google Scholar 

  5. Erlebach, T., Hall, A.: Np-hardness of broadcast scheduling and inapproximability of single-source unsplittable min-cost flow. In: Proceedings of ACM/SIAM Symposium on Discrete Algorithms (January 2002)

    Google Scholar 

  6. Gandhi, R., Khuller, S., Kim, Y., Wan, Y.-C.: Approximation algorithms for broadcast scheduling. In: Proceedings of Conference on Integer Programming and Combinatorial Optimization (2002)

    Google Scholar 

  7. Gandhi, R., Khuller, S., Parthasarathy, S., Srinivasan, S.: Dependent rounding in bipartite graphs. In: IEEE Symposium on Foundations of Computer Science (2002)

    Google Scholar 

  8. Kalyanasundaram, B., Pruhs, K.R.: Speed is as Powerful as Clairvoyance. In: IEEE Symposium on Foundation of Computation, pp. 214–221 (1995)

    Google Scholar 

  9. Kalyanasundaram, B., Pruhs, K.R., Velauthapillai, M.: Scheduling Broadcasts in Wireless Networks. Journal of Scheduling 4, 339–354 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  10. Kenyon, C., Schabanel, N., Young, N.: Polynomial-time approximation schemes for data broadcasts. In: Proceedings of Symposium on Theory of Computing, pp. 659–666 (2000)

    Google Scholar 

  11. Kim, J.H., Chowa, K.Y.: Scheduling broadcasts with deadlines. In: Warnow, T.J., Zhu, B. (eds.) COCOON 2003. LNCS, vol. 2697, Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  12. Phillips, C., Stein, C., Torng, E., Wein, J.: Optimal time-critical scheduling via resource augmentation. In: ACM Symposium on Theory of Computing, pp. 140–149 (1997)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kalyanasundaram, B., Velauthapillai, M. (2003). On-Demand Broadcasting Under Deadline. In: Di Battista, G., Zwick, U. (eds) Algorithms - ESA 2003. ESA 2003. Lecture Notes in Computer Science, vol 2832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39658-1_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-39658-1_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20064-2

  • Online ISBN: 978-3-540-39658-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics